Twisted mixed moments of the Riemann zeta function

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2024-11-04 DOI:10.1112/mtk.12284

Javier Pliego

引用次数: 0

Abstract

We analyse a collection of twisted mixed moments of the Riemann zeta function and establish the validity of asymptotic formulae comprising on some instances secondary terms of the shape for a suitable constant and a polynomial . Such examinations are performed both unconditionally and under the assumption of a weaker version of the -conjecture.

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黎曼兹塔函数的扭曲混合矩

我们分析了一系列黎曼zeta函数的扭曲混合矩，并建立了渐近公式的有效性，这些公式包括对适当常数和多项式的形状的一些次项。这些检验既可以无条件地进行，也可以在较弱版本的-猜想的假设下进行。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematika MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.